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Neutrosophic Linear Differential Equation with a New Concept of Neutrosophic Derivative

In: Neutrosophic Operational Research

Author

Listed:
  • Sandip Moi

    (Indian Institute of Engineering Science and Technology, Shibpur)

  • Suvankar Biswas

    (Sonarpur Mahavidyalaya, Sahid Biswanath Sarani)

  • Smita Pal (Sarkar)

    (Indian Institute of Engineering Science and Technology, Shibpur)

Abstract

In this article, some major drawbacks have been pointed out in the existing definition of neutrosophic derivative. So, a new definition of neutrosophic derivative has been introduced to avoid the drawbacks. A method has been modified in neutrosophic system to solve the most general form of nth order linear differential equation. Numerical examples have been considered to demonstrate the method. A numerical analysis has been done in terms of tables and figures to show the existence of the solution in neutrosophic system.

Suggested Citation

  • Sandip Moi & Suvankar Biswas & Smita Pal (Sarkar), 2021. "Neutrosophic Linear Differential Equation with a New Concept of Neutrosophic Derivative," Springer Books, in: Florentin Smarandache & Mohamed Abdel-Basset (ed.), Neutrosophic Operational Research, pages 395-410, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-57197-9_19
    DOI: 10.1007/978-3-030-57197-9_19
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